Results 51 to 60 of about 561,686 (251)
A finite quantum oscillator model related to special sets of Racah polynomials [PDF]
, 2016 In [R. Oste and J. Van der Jeugt, arXiv: 1507.01821 [math-ph]] we classified all pairs of recurrence relations in which two (dual) Hahn polynomials with different parameters appear.
Oste, Roy, Van der Jeugt, Joris
core +3 more sources
New Bounds for Hahn and Krawtchouk Polynomials [PDF]
SIAM Journal on Mathematical Analysis, 1995 For the Hahn and Krawtchouk polynomials orthogonal on the set $\{0, \ldots,N\}$ new identities for the sum of squares are derived which generalize the trigonometric identity for the Chebyshev polynomials of the first and second kind. These results are applied in order to obtain conditions (on the degree of the polynomials) such that the polynomials are
openaire +2 more sources
Some results on biorthogonal polynomials
International Journal of Mathematics and Mathematical Sciences, 1994 Some biorthogonal polynomials of Hahn and Pastro are derived using a polynomial modification of the Lebesgue measure dθ combined with analytic continuation. A result is given for changing the measures of biorthogonal polynomials on the unit circle by the
Richard W. Ruedemann
doaj +1 more source
Bivariate Hahn moments for image reconstruction
International Journal of Applied Mathematics and Computer Science, 2014 This paper presents a new set of bivariate discrete orthogonal moments which are based on bivariate Hahn polynomials with non-separable basis. The polynomials are scaled to ensure numerical stability.
Wu Haiyong, Yan Senlin
doaj +1 more source
Quantum state transfer in spin chains with q-deformed interaction terms [PDF]
, 2010 We study the time evolution of a single spin excitation state in certain linear spin chains, as a model for quantum communication. Some years ago it was discovered that when the spin chain data (the nearest neighbour interaction strengths and the ...
Chakrabarti R +7 more
core +3 more sources
Some New Generating Functions for q-Hahn Polynomials
Journal of Applied Mathematics, 2014 We obtain some new generating functions for q-Hahn polynomials and give their proofs based on the homogeneous q-difference operator.
Yun Zhou, Qiu-Ming Luo
doaj +1 more source
On Perfectness of Systems of Weights Satisfying Pearson’s Equation with Nonstandard Parameters
Axioms, 2023 Measures generating classical orthogonal polynomials are determined by Pearson’s equation, whose parameters usually provide the positivity of the measures.
Alexander Aptekarev +2 more
doaj +1 more source
The multivariate Hahn polynomials and the singular oscillator [PDF]
, 2015 Karlin and McGregor's d-variable Hahn polynomials are shown to arise in the (d+1)-dimensional singular oscillator model as the overlap coefficients between bases associated to the separation of variables in Cartesian and hyperspherical coordinates. These
Genest, Vincent X., Vinet, Luc
core +1 more source
Multivariable q-Hahn polynomials as coupling coefficients for quantum algebra representations
International Journal of Mathematics and Mathematical Sciences, 2001 We study coupling coefficients for a multiple tensor product of highest weight representations of the SU(1,1) quantum group. These are multivariable generalizations of the q-Hahn polynomials.
Hjalmar Rosengren
doaj +1 more source
The modification of classical hahn polynomials of a discrete variable [PDF]
Integral Transforms and Special Functions, 1995 We consider a modi cation of moment functionals for the Hahn classical polynomials of a discrete variable by adding two mass points at the ends of the interval, i.e., in x = 0 and x = N 1. We obtain the resulting orthogonal polynomials and identify them as hypergeometric functions.
Álvarez Nodarse, Renato +1 more
openaire +3 more sources